1001253620 has 48 divisors (see below), whose sum is σ = 2158098768. Its totient is φ = 389975040.

The previous prime is 1001253611. The next prime is 1001253653. The reversal of 1001253620 is 263521001.

It can be written as a sum of positive squares in 8 ways, for example, as 52243984 + 949009636 = 7228^2 + 30806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1001253592 and 1001253601.

It is a congruent number.

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, 619934 + ... + 621546.

It is an arithmetic number, because the mean of its divisors is an integer number (44960391).

Almost surely, 2^1001253620 is an apocalyptic number.

1001253620 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 1001253620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079049384).

1001253620 is an abundant number, since it is smaller than the sum of its proper divisors (1156845148).

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

1001253620 is a wasteful number, since it uses less digits than its factorization.

1001253620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1001253620 is about 31642.5918660277. The cubic root of 1001253620 is about 1000.4176988367.

Adding to 1001253620 its reverse (263521001), we get a palindrome (1264774621).

The spelling of 1001253620 in words is "one billion, one million, two hundred fifty-three thousand, six hundred twenty".