1054235961 has 27 divisors (see below), whose sum is σ = 1553644911. Its totient is φ = 688862304.

The previous prime is 1054235953. The next prime is 1054235983. The reversal of 1054235961 is 1695324501.

The square root of 1054235961 is 32469.

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

1054235961 is a `hidden beast` number, since 1 + 0 + 542 + 3 + 59 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 619263225 + 434972736 = 24885^2 + 20856^2 .

It is not a de Polignac number, because 1054235961 - 2³ = 1054235953 is a prime.

It is a super-2 number, since 2×1054235961² = 2222826922931187042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054235951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7695085 + ... + 7695221.

Almost surely, 2^1054235961 is an apocalyptic number.

1054235961 is the 32469-th square number.

1054235961 is the 16235-th centered octagonal number.

It is an amenable number.

1054235961 is a deficient number, since it is larger than the sum of its proper divisors (499408950).

1054235961 is an frugal number, since it uses more digits than its factorization.

1054235961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 1054235961 is about 1017.7613214384.

Multiplying 1054235961 by its sum of digits (36), we get a square (37952494596 = 194814²).

Multiplying 1054235961 by its product of nonzero digits (32400), we get a square (34157245136400 = 5844420²).

The spelling of 1054235961 in words is "one billion, fifty-four million, two hundred thirty-five thousand, nine hundred sixty-one".