1011225540 has 144 divisors (see below), whose sum is σ = 3137182272. Its totient is φ = 241933824.

The previous prime is 1011225533. The next prime is 1011225541. The reversal of 1011225540 is 455221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011225541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067347 + ... + 1068293.

It is an arithmetic number, because the mean of its divisors is an integer number (21785988).

Almost surely, 2^1011225540 is an apocalyptic number.

1011225540 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 1011225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568591136).

1011225540 is an abundant number, since it is smaller than the sum of its proper divisors (2125956732).

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

1011225540 is a wasteful number, since it uses less digits than its factorization.

1011225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1011225540 is about 31799.7726406967. The cubic root of 1011225540 is about 1003.7279319206.

Adding to 1011225540 its reverse (455221101), we get a palindrome (1466446641).

The spelling of 1011225540 in words is "one billion, eleven million, two hundred twenty-five thousand, five hundred forty".