253066382415 has 192 divisors, whose sum is σ = 577948400640. Its totient is φ = 99240837120.

The previous prime is 253066382389. The next prime is 253066382423. The reversal of 253066382415 is 514283660352.

253066382415 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 6 + 638 + 2 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 253066382415 - 2⁵ = 253066382383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16912117 + ... + 16927073.

It is an arithmetic number, because the mean of its divisors is an integer number (3010147920).

Almost surely, 2^253066382415 is an apocalyptic number.

253066382415 is an abundant number, since it is smaller than the sum of its proper divisors (324882018225).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253066382415 is a wasteful number, since it uses less digits than its factorization.

253066382415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15262 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 253066382415 in words is "two hundred fifty-three billion, sixty-six million, three hundred eighty-two thousand, four hundred fifteen".