1253128341465 has 1152 divisors, whose sum is σ = 3319467540480. Its totient is φ = 444426393600.

The previous prime is 1253128341419. The next prime is 1253128341529. The reversal of 1253128341465 is 5641438213521.

1253128341465 is a `hidden beast` number, since 1 + 2 + 53 + 128 + 3 + 414 + 65 = 666.

It is not a de Polignac number, because 1253128341465 - 2⁷ = 1253128341337 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 1253128341465.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 9867152232 + ... + 9867152358.

It is an arithmetic number, because the mean of its divisors is an integer number (2881482240).

Almost surely, 2^{1253128341465} is an apocalyptic number.

1253128341465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253128341465 is an abundant number, since it is smaller than the sum of its proper divisors (2066339199015).

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

1253128341465 is a wasteful number, since it uses less digits than its factorization.

1253128341465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 1253128341465 in words is "one trillion, two hundred fifty-three billion, one hundred twenty-eight million, three hundred forty-one thousand, four hundred sixty-five".