10142632601253 has 48 divisors (see below), whose sum is σ = 15462278832000. Its totient is φ = 6388959919104.

The previous prime is 10142632601191. The next prime is 10142632601281. The reversal of 10142632601253 is 35210623624101.

10142632601253 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 632 + 6 + 0 + 12 + 5 + 3 = 666.

It is not a de Polignac number, because 10142632601253 - 2⁹ = 10142632600741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142632605253) 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, 467111725 + ... + 467133437.

It is an arithmetic number, because the mean of its divisors is an integer number (322130809000).

Almost surely, 2^{10142632601253} is an apocalyptic number.

It is an amenable number.

10142632601253 is a deficient number, since it is larger than the sum of its proper divisors (5319646230747).

10142632601253 is a wasteful number, since it uses less digits than its factorization.

10142632601253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28826 (or 28823 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10142632601253 in words is "ten trillion, one hundred forty-two billion, six hundred thirty-two million, six hundred one thousand, two hundred fifty-three".