1025105040 has 60 divisors (see below), whose sum is σ = 3442646844. Its totient is φ = 273361152.

The previous prime is 1025105033. The next prime is 1025105041. The reversal of 1025105040 is 405015201.

1025105040 is a `hidden beast` number, since 102 + 510 + 50 + 4 + 0 = 666.

1025105040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 723179664 + 301925376 = 26892^2 + 17376^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025105041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711159 + ... + 712598.

Almost surely, 2^1025105040 is an apocalyptic number.

1025105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025105040 is an abundant number, since it is smaller than the sum of its proper divisors (2417541804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025105040 is a wasteful number, since it uses less digits than its factorization.

1025105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423776 (or 1423767 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1025105040 is about 32017.2615943338. The cubic root of 1025105040 is about 1008.2992781037.

The spelling of 1025105040 in words is "one billion, twenty-five million, one hundred five thousand, forty".