351616016331261 has 36 divisors (see below), whose sum is σ = 561956117850400. Its totient is φ = 211689353502000.

The previous prime is 351616016331221. The next prime is 351616016331329. The reversal of 351616016331261 is 162133610616153.

351616016331261 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 1 + 6 + 0 + 1 + 633 + 1 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 351616016331261 - 2⁷ = 351616016331133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351616016331211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1068973711 + ... + 1069302588.

Almost surely, 2^{351616016331261} is an apocalyptic number.

It is an amenable number.

351616016331261 is a deficient number, since it is larger than the sum of its proper divisors (210340101519139).

351616016331261 is a wasteful number, since it uses less digits than its factorization.

351616016331261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138276478 (or 2138276464 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 351616016331261 in words is "three hundred fifty-one trillion, six hundred sixteen billion, sixteen million, three hundred thirty-one thousand, two hundred sixty-one".