51686300952 has 144 divisors (see below), whose sum is σ = 165702657120. Its totient is φ = 14457674880.

The previous prime is 51686300933. The next prime is 51686300983. The reversal of 51686300952 is 25900368615.

51686300952 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 630 + 0 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×51686300952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51686300898 and 51686300907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114928 + ... + 341439.

Almost surely, 2^51686300952 is an apocalyptic number.

51686300952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51686300952 is an abundant number, since it is smaller than the sum of its proper divisors (114016356168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51686300952 is a wasteful number, since it uses less digits than its factorization.

51686300952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456414 (or 456396 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 51686300952 in words is "fifty-one billion, six hundred eighty-six million, three hundred thousand, nine hundred fifty-two".