1956248901 has 42 divisors (see below), whose sum is σ = 2980355238. Its totient is φ = 1283331600.

The previous prime is 1956248891. The next prime is 1956248909. The reversal of 1956248901 is 1098426591.

1956248901 is a `hidden beast` number, since 1 + 9 + 562 + 4 + 89 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1936880100 + 19368801 = 44010^2 + 4401^2 .

It is not a de Polignac number, because 1956248901 - 2⁵ = 1956248869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956248909) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12001446 + ... + 12001608.

It is an arithmetic number, because the mean of its divisors is an integer number (70960839).

Almost surely, 2^1956248901 is an apocalyptic number.

It is an amenable number.

1956248901 is a deficient number, since it is larger than the sum of its proper divisors (1024106337).

1956248901 is an frugal number, since it uses more digits than its factorization.

1956248901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1956248901 is about 44229.5026085530. The cubic root of 1956248901 is about 1250.6660772232. Note that the first 3 decimals are identical.

The spelling of 1956248901 in words is "one billion, nine hundred fifty-six million, two hundred forty-eight thousand, nine hundred one".