961270765057 has 16 divisors (see below), whose sum is σ = 1032201954000. Its totient is φ = 891996272640.

The previous prime is 961270764997. The next prime is 961270765087. The reversal of 961270765057 is 750567072169.

961270765057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 941323761 + 960329441296 = 30681^2 + 979964^2 .

It is a cyclic number.

It is not a de Polignac number, because 961270765057 - 2⁷ = 961270764929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 961270764989 and 961270765007.

It is not an unprimeable number, because it can be changed into a prime (961270765087) 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, 382194 + ... + 1438267.

It is an arithmetic number, because the mean of its divisors is an integer number (64512622125).

Almost surely, 2^961270765057 is an apocalyptic number.

It is an amenable number.

961270765057 is a deficient number, since it is larger than the sum of its proper divisors (70931188943).

961270765057 is a wasteful number, since it uses less digits than its factorization.

961270765057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820916.

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 961270765057 in words is "nine hundred sixty-one billion, two hundred seventy million, seven hundred sixty-five thousand, fifty-seven".