1956102461 has 16 divisors (see below), whose sum is σ = 2063707200. Its totient is φ = 1851360000.

The previous prime is 1956102427. The next prime is 1956102479. The reversal of 1956102461 is 1642016591.

It is not a de Polignac number, because 1956102461 - 2¹⁰ = 1956101437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956102481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684686 + ... + 687536.

It is an arithmetic number, because the mean of its divisors is an integer number (128981700).

Almost surely, 2^1956102461 is an apocalyptic number.

It is an amenable number.

1956102461 is a deficient number, since it is larger than the sum of its proper divisors (107604739).

1956102461 is a wasteful number, since it uses less digits than its factorization.

1956102461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1956102461 is about 44227.8471214686. The cubic root of 1956102461 is about 1250.6348691783.

The spelling of 1956102461 in words is "one billion, nine hundred fifty-six million, one hundred two thousand, four hundred sixty-one".