1025541400 has 96 divisors (see below), whose sum is σ = 2627800560. Its totient is φ = 369815040.

The previous prime is 1025541379. The next prime is 1025541421. The reversal of 1025541400 is 41455201.

It is an interprime number because it is at equal distance from previous prime (1025541379) and next prime (1025541421).

It is a super-2 number, since 2×1025541400² = 2103470326227920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107214 + ... + 116386.

Almost surely, 2^1025541400 is an apocalyptic number.

1025541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313900280).

1025541400 is an abundant number, since it is smaller than the sum of its proper divisors (1602259160).

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

1025541400 is a wasteful number, since it uses less digits than its factorization.

1025541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1025541400 is about 32024.0753184225. The cubic root of 1025541400 is about 1008.4423265527.

Adding to 1025541400 its reverse (41455201), we get a palindrome (1066996601).

The spelling of 1025541400 in words is "one billion, twenty-five million, five hundred forty-one thousand, four hundred".