51407340145561 has 16 divisors (see below), whose sum is σ = 54699354861840. Its totient is φ = 48145343846400.

The previous prime is 51407340145549. The next prime is 51407340145571. The reversal of 51407340145561 is 16554104370415.

It can be written as a sum of positive squares in 8 ways, for example, as 1271806529536 + 50135533616025 = 1127744^2 + 7080645^2 .

It is a cyclic number.

It is not a de Polignac number, because 51407340145561 - 2²³ = 51407331756953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51407340145571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345255 + ... + 10677331.

It is an arithmetic number, because the mean of its divisors is an integer number (3418709678865).

Almost surely, 2^{51407340145561} is an apocalyptic number.

It is an amenable number.

51407340145561 is a deficient number, since it is larger than the sum of its proper divisors (3292014716279).

51407340145561 is a wasteful number, since it uses less digits than its factorization.

51407340145561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334124.

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 51407340145561 in words is "fifty-one trillion, four hundred seven billion, three hundred forty million, one hundred forty-five thousand, five hundred sixty-one".