1355172461253 has 40 divisors (see below), whose sum is σ = 2217067221600. Its totient is φ = 819817461792.

The previous prime is 1355172461249. The next prime is 1355172461303. The reversal of 1355172461253 is 3521642715531.

1355172461253 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 7 + 24 + 612 + 5 + 3 = 666.

It is not a de Polignac number, because 1355172461253 - 2² = 1355172461249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1355172461199 and 1355172461208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355172461243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10844343 + ... + 10968596.

It is an arithmetic number, because the mean of its divisors is an integer number (55426680540).

Almost surely, 2^{1355172461253} is an apocalyptic number.

1355172461253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1355172461253 is a deficient number, since it is larger than the sum of its proper divisors (861894760347).

1355172461253 is a wasteful number, since it uses less digits than its factorization.

1355172461253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813023 (or 21813014 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 1355172461253 in words is "one trillion, three hundred fifty-five billion, one hundred seventy-two million, four hundred sixty-one thousand, two hundred fifty-three".