612612001 has 9 divisors (see below), whose sum is σ = 625728691. Its totient is φ = 599766232.

The previous prime is 612611981. The next prime is 612612019. The reversal of 612612001 is 100216216.

The square root of 612612001 is 24751.

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

It can be written as a sum of positive squares in only one way, i.e., 441630225 + 170981776 = 21015^2 + 13076^2 .

It is not a de Polignac number, because 612612001 - 2¹⁷ = 612480929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 612612001.

It is not an unprimeable number, because it can be changed into a prime (612612101) 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, 1311570 + ... + 1312036.

Almost surely, 2^612612001 is an apocalyptic number.

612612001 is the 24751-st square number.

612612001 is the 12376-th centered octagonal number.

It is an amenable number.

612612001 is a deficient number, since it is larger than the sum of its proper divisors (13116690).

612612001 is an frugal number, since it uses more digits than its factorization.

612612001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 612612001 is about 849.3013872150.

Multiplying 612612001 by its product of nonzero digits (144), we get a square (88216128144 = 297012²).

Adding to 612612001 its reverse (100216216), we get a palindrome (712828217).

The spelling of 612612001 in words is "six hundred twelve million, six hundred twelve thousand, one".