10253137473351 has 24 divisors (see below), whose sum is σ = 14827851792000. Its totient is φ = 6827228996112.

The previous prime is 10253137473347. The next prime is 10253137473413. The reversal of 10253137473351 is 15337473135201.

10253137473351 is a `hidden beast` number, since 1 + 0 + 2 + 531 + 37 + 4 + 7 + 33 + 51 = 666.

It is not a de Polignac number, because 10253137473351 - 2² = 10253137473347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10253137473297 and 10253137473306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253137473151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42791640 + ... + 43030578.

It is an arithmetic number, because the mean of its divisors is an integer number (617827158000).

Almost surely, 2^{10253137473351} is an apocalyptic number.

10253137473351 is a deficient number, since it is larger than the sum of its proper divisors (4574714318649).

10253137473351 is a wasteful number, since it uses less digits than its factorization.

10253137473351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244643 (or 244640 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 10253137473351 in words is "ten trillion, two hundred fifty-three billion, one hundred thirty-seven million, four hundred seventy-three thousand, three hundred fifty-one".