1351705500761 has 48 divisors (see below), whose sum is σ = 1757280779520. Its totient is φ = 1016541187200.

The previous prime is 1351705500751. The next prime is 1351705500787. The reversal of 1351705500761 is 1670055071531.

It is not a de Polignac number, because 1351705500761 - 2³⁴ = 1334525631577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1351705500751) 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, 68545475 + ... + 68565191.

It is an arithmetic number, because the mean of its divisors is an integer number (36610016240).

Almost surely, 2^{1351705500761} is an apocalyptic number.

1351705500761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1351705500761 is a deficient number, since it is larger than the sum of its proper divisors (405575278759).

1351705500761 is a wasteful number, since it uses less digits than its factorization.

1351705500761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22566 (or 22555 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 41.

The spelling of 1351705500761 in words is "one trillion, three hundred fifty-one billion, seven hundred five million, five hundred thousand, seven hundred sixty-one".