1025401000 has 64 divisors (see below), whose sum is σ = 2584043280. Its totient is φ = 378604800.

The previous prime is 1025400991. The next prime is 1025401051. The reversal of 1025401000 is 1045201.

It can be written as a sum of positive squares in 8 ways, for example, as 7918596 + 1017482404 = 2814^2 + 31898^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26439 + ... + 52438.

Almost surely, 2^1025401000 is an apocalyptic number.

1025401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025401000 is an abundant number, since it is smaller than the sum of its proper divisors (1558642280).

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

1025401000 is a wasteful number, since it uses less digits than its factorization.

1025401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78911 (or 78897 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1025401000 is about 32021.8831426261. The cubic root of 1025401000 is about 1008.3963047590.

Adding to 1025401000 its reverse (1045201), we get a palindrome (1026446201).

The spelling of 1025401000 in words is "one billion, twenty-five million, four hundred one thousand".