54135763061351 has 32 divisors (see below), whose sum is σ = 55698215328000. Its totient is φ = 52585496248320.

The previous prime is 54135763061333. The next prime is 54135763061357. The reversal of 54135763061351 is 15316036753145.

It is a cyclic number.

It is not a de Polignac number, because 54135763061351 - 2²⁶ = 54135695952487 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 54135763061351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54135763061357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32670948515 + ... + 32670950171.

It is an arithmetic number, because the mean of its divisors is an integer number (1740569229000).

Almost surely, 2^{54135763061351} is an apocalyptic number.

54135763061351 is a deficient number, since it is larger than the sum of its proper divisors (1562452266649).

54135763061351 is a wasteful number, since it uses less digits than its factorization.

54135763061351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859.

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 54135763061351 in words is "fifty-four trillion, one hundred thirty-five billion, seven hundred sixty-three million, sixty-one thousand, three hundred fifty-one".