1307123961 has 16 divisors (see below), whose sum is σ = 2047523520. Its totient is φ = 731257920.

The previous prime is 1307123953. The next prime is 1307123977. The reversal of 1307123961 is 1693217031.

1307123961 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1307123961 - 2³ = 1307123953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1307124961) 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, 1523026 + ... + 1523883.

It is an arithmetic number, because the mean of its divisors is an integer number (127970220).

Almost surely, 2^1307123961 is an apocalyptic number.

1307123961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1307123961 is a deficient number, since it is larger than the sum of its proper divisors (740399559).

1307123961 is a wasteful number, since it uses less digits than its factorization.

1307123961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046936.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1307123961 is about 36154.1693446275. The cubic root of 1307123961 is about 1093.3828525703.

The spelling of 1307123961 in words is "one billion, three hundred seven million, one hundred twenty-three thousand, nine hundred sixty-one".