45135024461253 has 40 divisors (see below), whose sum is σ = 67767283232000. Its totient is φ = 29936802547872.

The previous prime is 45135024461239. The next prime is 45135024461257. The reversal of 45135024461253 is 35216442053154.

45135024461253 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 5 + 0 + 24 + 4 + 612 + 5 + 3 = 666.

It is not a de Polignac number, because 45135024461253 - 2⁵ = 45135024461221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45135024461199 and 45135024461208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45135024461257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263185908 + ... + 263357346.

It is an arithmetic number, because the mean of its divisors is an integer number (1694182080800).

Almost surely, 2^{45135024461253} is an apocalyptic number.

It is an amenable number.

45135024461253 is a deficient number, since it is larger than the sum of its proper divisors (22632258770747).

45135024461253 is a wasteful number, since it uses less digits than its factorization.

45135024461253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187983 (or 187974 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45135024461253 in words is "forty-five trillion, one hundred thirty-five billion, twenty-four million, four hundred sixty-one thousand, two hundred fifty-three".