1253114116551 has 48 divisors (see below), whose sum is σ = 2027024093952. Its totient is φ = 739415174400.

The previous prime is 1253114116537. The next prime is 1253114116609. The reversal of 1253114116551 is 1556114113521.

1253114116551 is a `hidden beast` number, since 1 + 2 + 53 + 1 + 1 + 41 + 16 + 551 = 666.

It is not a de Polignac number, because 1253114116551 - 2⁵ = 1253114116519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253114116531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850671 + ... + 1797183.

It is an arithmetic number, because the mean of its divisors is an integer number (42229668624).

Almost surely, 2^{1253114116551} is an apocalyptic number.

1253114116551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1253114116551 is a deficient number, since it is larger than the sum of its proper divisors (773909977401).

1253114116551 is a wasteful number, since it uses less digits than its factorization.

1253114116551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946884 (or 946881 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The spelling of 1253114116551 in words is "one trillion, two hundred fifty-three billion, one hundred fourteen million, one hundred sixteen thousand, five hundred fifty-one".