1010252672 has 128 divisors (see below), whose sum is σ = 2393042400. Its totient is φ = 418775040.

The previous prime is 1010252653. The next prime is 1010252717. The reversal of 1010252672 is 2762520101.

1010252672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1010252672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1775204 + ... + 1775772.

Almost surely, 2^1010252672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196521200).

1010252672 is an abundant number, since it is smaller than the sum of its proper divisors (1382789728).

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

1010252672 is a wasteful number, since it uses less digits than its factorization.

1010252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1010252672 is about 31784.4721837566. The cubic root of 1010252672 is about 1003.4059437106.

Adding to 1010252672 its reverse (2762520101), we get a palindrome (3772772773).

The spelling of 1010252672 in words is "one billion, ten million, two hundred fifty-two thousand, six hundred seventy-two".