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51212142601 = 97223332
BaseRepresentation
bin101111101100011110…
…110100100000001001
311220012001200101200021
4233230132310200021
51314340302030401
635305421540441
73462041013124
oct575436644011
9156161611607
1051212142601
111a79aa127a4
129b12a14721
134aa1c26079
14269b7013bb
1514eaecd2a1
hexbec7b4809

51212142601 has 9 divisors (see below), whose sum is σ = 51767735061. Its totient is φ = 50662457472.

The previous prime is 51212142599. The next prime is 51212142607. The reversal of 51212142601 is 10624121215.

The square root of 51212142601 is 226301.

It is a perfect power (a square), and thus also a powerful number.

51212142601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2256155001 + 48955987600 = 47499^2 + 221260^2 .

It is not a de Polignac number, because 51212142601 - 21 = 51212142599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51212142607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21950031 + ... + 21952363.

Almost surely, 251212142601 is an apocalyptic number.

51212142601 is the 226301-st square number.

51212142601 is the 113151-st centered octagonal number.

It is an amenable number.

51212142601 is a deficient number, since it is larger than the sum of its proper divisors (555592460).

51212142601 is an frugal number, since it uses more digits than its factorization.

51212142601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 51212142601 by its sum of digits (25), we get a square (1280303565025 = 11315052).

Adding to 51212142601 its reverse (10624121215), we get a palindrome (61836263816).

The spelling of 51212142601 in words is "fifty-one billion, two hundred twelve million, one hundred forty-two thousand, six hundred one".

Divisors: 1 97 2333 9409 226301 5442889 21951197 527960233 51212142601