511249350 has 96 divisors (see below), whose sum is σ = 1310916096. Its totient is φ = 131760000.

The previous prime is 511249273. The next prime is 511249351. The reversal of 511249350 is 53942115.

It is a super-2 number, since 2×511249350² = 522751795750845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511249351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1392867 + ... + 1393233.

It is an arithmetic number, because the mean of its divisors is an integer number (13655376).

Almost surely, 2^511249350 is an apocalyptic number.

511249350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 511249350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655458048).

511249350 is an abundant number, since it is smaller than the sum of its proper divisors (799666746).

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

511249350 is a wasteful number, since it uses less digits than its factorization.

511249350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 511249350 is about 22610.8237355475. The cubic root of 511249350 is about 799.6088452369.

The spelling of 511249350 in words is "five hundred eleven million, two hundred forty-nine thousand, three hundred fifty".