51901496761 has 9 divisors (see below), whose sum is σ = 53637044943. Its totient is φ = 50220420360.

The previous prime is 51901496747. The next prime is 51901496767. The reversal of 51901496761 is 16769410915.

The square root of 51901496761 is 227819.

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., 35747086761 + 16154410000 = 189069^2 + 127100^2 .

It is not a de Polignac number, because 51901496761 - 2²⁹ = 51364625849 is a prime.

It is a super-2 number, since 2×51901496761² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51901496767) 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, 7058715 + ... + 7066063.

Almost surely, 2^51901496761 is an apocalyptic number.

51901496761 is the 227819-th square number.

51901496761 is the 113910-th centered octagonal number.

It is an amenable number.

51901496761 is a deficient number, since it is larger than the sum of its proper divisors (1735548182).

51901496761 is an frugal number, since it uses more digits than its factorization.

51901496761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

Multiplying 51901496761 by its sum of digits (49), we get a square (2543173341289 = 1594733²).

The spelling of 51901496761 in words is "fifty-one billion, nine hundred one million, four hundred ninety-six thousand, seven hundred sixty-one".