1253415513456 has 60 divisors (see below), whose sum is σ = 3660336617808. Its totient is φ = 399639727872.

The previous prime is 1253415513451. The next prime is 1253415513463. The reversal of 1253415513456 is 6543155143521.

It is a happy number.

1253415513456 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 41 + 551 + 3 + 4 + 56 = 666.

It is a super-4 number, since 4×1253415513456⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253415513451) 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, 189220045 + ... + 189226668.

Almost surely, 2^{1253415513456} is an apocalyptic number.

1253415513456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253415513456 is an abundant number, since it is smaller than the sum of its proper divisors (2406921104352).

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

1253415513456 is a wasteful number, since it uses less digits than its factorization.

1253415513456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378446750 (or 378446741 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 1253415513456 in words is "one trillion, two hundred fifty-three billion, four hundred fifteen million, five hundred thirteen thousand, four hundred fifty-six".