1025984961 has 15 divisors (see below), whose sum is σ = 1533074961. Its totient is φ = 683797788.

The previous prime is 1025984941. The next prime is 1025984983. The reversal of 1025984961 is 1694895201.

The square root of 1025984961 is 32031.

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

1025984961 is a `hidden beast` number, since 10 + 2 + 598 + 49 + 6 + 1 = 666.

1025984961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1025984961 - 2¹³ = 1025976769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1025984941) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 286500 + ... + 290058.

Almost surely, 2^1025984961 is an apocalyptic number.

1025984961 is the 32031-st square number.

1025984961 is the 16016-th centered octagonal number.

It is an amenable number.

1025984961 is a deficient number, since it is larger than the sum of its proper divisors (507090000).

1025984961 is an frugal number, since it uses more digits than its factorization.

1025984961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 3562 counting only the distinct ones).

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

The cubic root of 1025984961 is about 1008.5876940674.

The spelling of 1025984961 in words is "one billion, twenty-five million, nine hundred eighty-four thousand, nine hundred sixty-one".