2504490101253 has 128 divisors (see below), whose sum is σ = 4546074624000. Its totient is φ = 1330827641280.

The previous prime is 2504490101251. The next prime is 2504490101279. The reversal of 2504490101253 is 3521010944052.

2504490101253 is a `hidden beast` number, since 2 + 504 + 4 + 90 + 1 + 0 + 12 + 53 = 666.

It is not a de Polignac number, because 2504490101253 - 2¹ = 2504490101251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504490101251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146392926 + ... + 146410032.

It is an arithmetic number, because the mean of its divisors is an integer number (35516208000).

Almost surely, 2^{2504490101253} is an apocalyptic number.

It is an amenable number.

2504490101253 is a deficient number, since it is larger than the sum of its proper divisors (2041584522747).

2504490101253 is a wasteful number, since it uses less digits than its factorization.

2504490101253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2504490101253 in words is "two trillion, five hundred four billion, four hundred ninety million, one hundred one thousand, two hundred fifty-three".