1023415253010 has 80 divisors (see below), whose sum is σ = 2753688960000. Its totient is φ = 272728348704.

The previous prime is 1023415252997. The next prime is 1023415253017. The reversal of 1023415253010 is 103525143201.

1023415253010 is a `hidden beast` number, since 10 + 2 + 341 + 5 + 2 + 5 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1023415253017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 792751 + ... + 1635629.

It is an arithmetic number, because the mean of its divisors is an integer number (34421112000).

Almost surely, 2^{1023415253010} is an apocalyptic number.

1023415253010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023415253010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376844480000).

1023415253010 is an abundant number, since it is smaller than the sum of its proper divisors (1730273706990).

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

1023415253010 is a wasteful number, since it uses less digits than its factorization.

1023415253010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844397 (or 844388 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1023415253010 in words is "one trillion, twenty-three billion, four hundred fifteen million, two hundred fifty-three thousand, ten".