1911350961 has 81 divisors (see below), whose sum is σ = 3209558859. Its totient is φ = 1095423264.

The previous prime is 1911350941. The next prime is 1911350963. The reversal of 1911350961 is 1690531191.

It is a happy number.

The square root of 1911350961 is 43719.

It is a perfect power (a square), and thus also a powerful number.

1911350961 is a `hidden beast` number, since 1 + 91 + 1 + 3 + 509 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282744225 + 1628606736 = 16815^2 + 40356^2 .

It is not a de Polignac number, because 1911350961 - 2⁵ = 1911350929 is a prime.

It is a super-2 number, since 2×1911350961² = 7306524992231247042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1911350963) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32395750 + ... + 32395808.

Almost surely, 2^1911350961 is an apocalyptic number.

1911350961 is the 43719-th square number.

1911350961 is the 21860-th centered octagonal number.

It is an amenable number.

1911350961 is a deficient number, since it is larger than the sum of its proper divisors (1298207898).

1911350961 is a wasteful number, since it uses less digits than its factorization.

1911350961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The cubic root of 1911350961 is about 1241.0239030442.

Multiplying 1911350961 by its sum of digits (36), we get a square (68808634596 = 262314²).

The spelling of 1911350961 in words is "one billion, nine hundred eleven million, three hundred fifty thousand, nine hundred sixty-one".