253006507845 has 192 divisors, whose sum is σ = 549720138240. Its totient is φ = 104801900544.

The previous prime is 253006507841. The next prime is 253006507849. The reversal of 253006507845 is 548705600352.

253006507845 is a `hidden beast` number, since 2 + 530 + 0 + 6 + 5 + 0 + 78 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (253006507841) and next prime (253006507849).

It is not a de Polignac number, because 253006507845 - 2² = 253006507841 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253006507845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253006507841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86972251 + ... + 86975159.

It is an arithmetic number, because the mean of its divisors is an integer number (2863125720).

Almost surely, 2^253006507845 is an apocalyptic number.

It is an amenable number.

253006507845 is an abundant number, since it is smaller than the sum of its proper divisors (296713630395).

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

253006507845 is a wasteful number, since it uses less digits than its factorization.

253006507845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 253006507845 in words is "two hundred fifty-three billion, six million, five hundred seven thousand, eight hundred forty-five".