1253530415520 has 72 divisors (see below), whose sum is σ = 4277672547876. Its totient is φ = 334274777088.

The previous prime is 1253530415483. The next prime is 1253530415521. The reversal of 1253530415520 is 255140353521.

1253530415520 is a `hidden beast` number, since 1 + 2 + 5 + 35 + 30 + 41 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1233618947856 + 19911467664 = 1110684^2 + 141108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1253530415521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435252177 + ... + 435255056.

Almost surely, 2^{1253530415520} is an apocalyptic number.

1253530415520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253530415520 is an abundant number, since it is smaller than the sum of its proper divisors (3024142132356).

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

1253530415520 is a wasteful number, since it uses less digits than its factorization.

1253530415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870507254 (or 870507243 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1253530415520 in words is "one trillion, two hundred fifty-three billion, five hundred thirty million, four hundred fifteen thousand, five hundred twenty".