1253261461540 has 36 divisors (see below), whose sum is σ = 2892858899868. Its totient is φ = 455731439680.

The previous prime is 1253261461519. The next prime is 1253261461547. The reversal of 1253261461540 is 451641623521.

It can be written as a sum of positive squares in 2 ways, for example, as 730775361316 + 522486100224 = 854854^2 + 722832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1253261461493 and 1253261461502.

It is not an unprimeable number, because it can be changed into a prime (1253261461547) 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, 258935899 + ... + 258940738.

It is an arithmetic number, because the mean of its divisors is an integer number (80357191663).

Almost surely, 2^{1253261461540} is an apocalyptic number.

1253261461540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253261461540 is an abundant number, since it is smaller than the sum of its proper divisors (1639597438328).

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

1253261461540 is a wasteful number, since it uses less digits than its factorization.

1253261461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517876668 (or 517876655 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1253261461540 in words is "one trillion, two hundred fifty-three billion, two hundred sixty-one million, four hundred sixty-one thousand, five hundred forty".