1053216414657 has 48 divisors (see below), whose sum is σ = 1661978462976. Its totient is φ = 637404300000.

The previous prime is 1053216414641. The next prime is 1053216414697. The reversal of 1053216414657 is 7564146123501.

It is a happy number.

1053216414657 is a `hidden beast` number, since 1 + 0 + 532 + 1 + 64 + 1 + 4 + 6 + 57 = 666.

It is not a de Polignac number, because 1053216414657 - 2⁴ = 1053216414641 is a prime.

It is a super-2 number, since 2×1053216414657² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053216414617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323965282 + ... + 323968532.

It is an arithmetic number, because the mean of its divisors is an integer number (34624551312).

Almost surely, 2^{1053216414657} is an apocalyptic number.

It is an amenable number.

1053216414657 is a deficient number, since it is larger than the sum of its proper divisors (608762048319).

1053216414657 is a wasteful number, since it uses less digits than its factorization.

1053216414657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1053216414657 in words is "one trillion, fifty-three billion, two hundred sixteen million, four hundred fourteen thousand, six hundred fifty-seven".